Advertisements
Advertisements
प्रश्न
Volume of a cuboid is 34.50 cubic metre. Breadth and height of the cuboid is 1.5m and 1.15m respectively. Find its length.
Advertisements
उत्तर
Let the length of the cuboid be l m.
Breadth of the cuboid, b = 1.5 m
Height of the cuboid, h = 1.15 m
Volume of the cuboid = 34.50 m3
∴ l × b × h = 34.50 m3
⇒ l × 1.5 × 1.15 = 34.50
⇒ l = `34.50/[1.5 xx 1.15]`
⇒ l = `(3450 × 10 × 100)/(100 × 15 × 115)`
= 20 m
Thus, the length of the cuboid is 20 m.
APPEARS IN
संबंधित प्रश्न
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold? (1 m3 = 1000l)
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold?
If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that
`1/V=2/S(1/a+1/b+1)`
If the area of three adjacent faces of a cuboid are 8 `cm^2`, 18 `cm^3` and 25 `cm^3`. Find the
volume of the cuboid.
Three metal cubes with edges 6 cm, 8 cm and 10 cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.
Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 `m^3` of air?
Given that 1 cubic cm of marble weighs 0.25 kg, the weight of marble block 28 cm in width and 5 cm thick is 112 kg. Find the length of the block.
A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.
A godown measures 40m × 25 m × 10 m. Find the maximum number of wooden crates each measuring 1.5 m
× 1.25 m × 0.5 m that can be stored in the godown.
The dimensions of a match box are 6 cm × 3.5 cm × 2.5 cm. Find the volume of a packet containing 12 such match boxes
The length, breadth and height of a chocolate box are in the ratio 5 : 4 : 3. If its volume is 7500 cm3, then find its dimensions
The dimensions of a brick are 24 cm × 12 cm × 8 cm. How many such bricks will be required to build a wall of 20 m length, 48 cm breadth and 6 m height?
The volume of a container is 1440 m3. The length and breadth of the container are 15 m and 8 m respectively. Find its height
The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5 m) is ______.
The surface area of the three coterminus faces of a cuboid are 6, 15 and 10 cm2 respectively. The volume of the cuboid is ______.
How many small cubes with edge of 20 cm each can be just accommodated in a cubical box of 2 m edge?
A truck carrying 7.8 m3 concrete arrives at a job site. A platform of width 5 m and height 2 m is being contructed at the site. Find the length of the platform, constructed from the amount of concrete on the truck?
